TSTP Solution File: SYN326+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:45:12 EDT 2023
% Result : Theorem 0.22s 0.64s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 21:44:37 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.59 start to proof:theBenchmark
% 0.22/0.64 %-------------------------------------------
% 0.22/0.64 % File :CSE---1.6
% 0.22/0.64 % Problem :theBenchmark
% 0.22/0.64 % Transform :cnf
% 0.22/0.64 % Format :tptp:raw
% 0.22/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.22/0.64
% 0.22/0.64 % Result :Theorem 0.000000s
% 0.22/0.64 % Output :CNFRefutation 0.000000s
% 0.22/0.64 %-------------------------------------------
% 0.22/0.64 %--------------------------------------------------------------------------
% 0.22/0.64 % File : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% 0.22/0.64 % Domain : Syntactic
% 0.22/0.64 % Problem : Church problem 46.12 (1)
% 0.22/0.64 % Version : Especial.
% 0.22/0.64 % English :
% 0.22/0.64
% 0.22/0.64 % Refs : [Chu56] Church (1956), Introduction to Mathematical Logic I
% 0.22/0.64 % Source : [Chu56]
% 0.22/0.64 % Names : 46.12 (1) [Chu56]
% 0.22/0.64
% 0.22/0.64 % Status : Theorem
% 0.22/0.64 % Rating : 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.10 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.22 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% 0.22/0.64 % Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% 0.22/0.64 % Number of atoms : 9 ( 0 equ)
% 0.22/0.64 % Maximal formula atoms : 9 ( 9 avg)
% 0.22/0.64 % Number of connectives : 8 ( 0 ~; 0 |; 0 &)
% 0.22/0.64 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.22/0.64 % Maximal formula depth : 8 ( 8 avg)
% 0.22/0.64 % Maximal term depth : 1 ( 1 avg)
% 0.22/0.64 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 0.22/0.64 % Number of functors : 0 ( 0 usr; 0 con; --- aty)
% 0.22/0.64 % Number of variables : 3 ( 2 !; 1 ?)
% 0.22/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.22/0.64
% 0.22/0.64 % Comments :
% 0.22/0.64 %--------------------------------------------------------------------------
% 0.22/0.64 fof(church_46_12_1,conjecture,
% 0.22/0.64 ? [X] :
% 0.22/0.64 ! [Y,Z] :
% 0.22/0.64 ( ( ( big_f(Y,Z)
% 0.22/0.64 => ( big_g(Y)
% 0.22/0.64 => big_h(X) ) )
% 0.22/0.64 => big_f(X,X) )
% 0.22/0.64 => ( ( ( big_f(Z,X)
% 0.22/0.64 => big_g(X) )
% 0.22/0.64 => big_h(Z) )
% 0.22/0.64 => ( big_f(X,Y)
% 0.22/0.64 => big_f(Z,Z) ) ) ) ).
% 0.22/0.64
% 0.22/0.64 %--------------------------------------------------------------------------
% 0.22/0.64 %-------------------------------------------
% 0.22/0.64 % Proof found
% 0.22/0.64 % SZS status Theorem for theBenchmark
% 0.22/0.64 % SZS output start Proof
% 0.22/0.65 %ClaNum:7(EqnAxiom:0)
% 0.22/0.65 %VarNum:19(SingletonVarNum:7)
% 0.22/0.65 %MaxLitNum:2
% 0.22/0.65 %MaxfuncDepth:1
% 0.22/0.65 %SharedTerms:0
% 0.22/0.65 %goalClause: 1 2 3 4 5 6 7
% 0.22/0.65 %singleGoalClaCount:2
% 0.22/0.65 [1]P1(x11,f1(x11))
% 0.22/0.65 [2]~P1(f2(x21),f2(x21))
% 0.22/0.65 [4]~P2(x41)+P1(x41,x41)
% 0.22/0.65 [3]~P3(x31)+P2(f2(x31))
% 0.22/0.65 [5]P1(x51,x51)+P3(f1(x51))
% 0.22/0.65 [6]P1(f2(x61),x61)+P2(f2(x61))
% 0.22/0.65 [7]P1(x71,x71)+P1(f1(x71),f2(x71))
% 0.22/0.65 %EqnAxiom
% 0.22/0.65
% 0.22/0.65 %-------------------------------------------
% 0.22/0.65 cnf(9,plain,
% 0.22/0.65 (~P3(x91)),
% 0.22/0.65 inference(scs_inference,[],[2,4,3])).
% 0.22/0.65 cnf(10,plain,
% 0.22/0.65 (P3(f1(f2(x101)))),
% 0.22/0.65 inference(scs_inference,[],[2,4,3,5])).
% 0.22/0.65 cnf(12,plain,
% 0.22/0.65 ($false),
% 0.22/0.65 inference(scs_inference,[],[9,10]),
% 0.22/0.65 ['proof']).
% 0.22/0.65 % SZS output end Proof
% 0.22/0.65 % Total time :0.000000s
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